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math.FA2013
The p-Weak Gradient Depends on p
Simone Di Marino, Gareth Speight
Given a>0, we construct a weighted Lebesgue measure on R^n for which the family of non constant curves has p-modulus zero for p\leq 1+a but the weight is a Muckenhoupt A_p weight f…
math.FA2013★ 1 cited
Differentiability of Lipschitz Functions in Lebesgue Null Sets
David Preiss, Gareth Speight
We show that if n>1 then there exists a Lebesgue null set in R^n containing a point of differentiability of each Lipschitz function mapping from R^n to R^(n-1); in combination with…